Symmetry and Its Role in Oscillation of Solutions of Third-Order Differential Equations
Symmetry and Its Role in Oscillation of Solutions of Third-Order Differential Equations
Symmetry plays an essential role in determining the correct methods for the oscillatory properties of solutions to differential equations. This paper examines some new oscillation criteria for unbounded solutions of third-order neutral differential equations of the form (r2(ς)((r1(ς)(z′(ς))β1)′)β2)′ + ∑i=1nqi(ς)xβ3(ϕi(ς))=0. New oscillation results are established by using generalized Riccati substitution, …